instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Calculate 50381094 divided by 6.\n | 8396849\n | ibivibiv/math_instruct | |
Suppose x - 5*x - 56 = 0. Let y = x + 13. Let o be (1 - -1)*((-18)/12 - y). Is o at least -1?\n | True\n | ibivibiv/math_instruct | |
What is 297270.0153 rounded to the nearest 1000?\n | 297000\n | ibivibiv/math_instruct | |
Let r = 46 - 117. Let c = r + 75. Does 2 divide c?\n | True\n | ibivibiv/math_instruct | |
A taco truck buys 100 pounds of beef. They use .25 pounds of beef per taco. If they sell each taco for $2 and each taco takes $1.5 to make how much profit did they make if they used all the beef? | The taco truck bought 100 pounds of beef and uses 0.25 pounds of beef per taco.
So, they can make 100 / 0.25 = 400 tacos with the beef they bought.
Each taco sells for $2 and takes $1.5 to make.
So, the profit per taco is $2 - $1.5 = $0.5
The total profit they made is 400 tacos x $0.5 = $200
#### 200
The answer is: 200 | ibivibiv/math_instruct | |
In base 14, what is -a06 - 18ca8?\n | -198b0\n | ibivibiv/math_instruct | |
What is the billions digit of 2101971002?\n | 2\n | ibivibiv/math_instruct | |
Suppose 0 = 4*m - 32 - 0. What is the lowest common multiple of 13 and m?\n | 104\n | ibivibiv/math_instruct | |
Let a(f) = -41*f**2 + 83*f**2 - 41*f**2 - 4. Let z = 57 - 31. Let q be z/8 - 8/32. Determine a(q).\n | 5\n | ibivibiv/math_instruct | |
Calculate -9.26 + -6010705711.9.\n | -6010705721.16\n | ibivibiv/math_instruct | |
Is 754 a factor of 5890248?\n | True\n | ibivibiv/math_instruct | |
Calculate -41502 + -0.059.\n | -41502.059\n | ibivibiv/math_instruct | |
Does 51 divide 90984?\n | True\n | ibivibiv/math_instruct | |
What is (-9)/(-5) + (-4)/2?\n | -1/5\n | ibivibiv/math_instruct | |
Simplify (((m/((m/(m**(-1)*m))/m))**40*(m/(m/(m*(m**(-3)/m)/m)))/(m**12*m))**(1/4))**(2/29) assuming m is positive.\n | m**(23/58)\n | ibivibiv/math_instruct | |
What comes next: -1772, -7055, -15850, -28151, -43952, -63247?\n | -86030\n | ibivibiv/math_instruct | |
Find the common denominator of -55/42 and -53/966.\n | 966\n | ibivibiv/math_instruct | |
Let h(k) = 953055*k + 8577482. Calculate h(-9).\n | -13\n | ibivibiv/math_instruct | |
Evaluate (108/72)/(208/192).\n | 18/13\n | ibivibiv/math_instruct | |
Suppose 52*y = 48*y - 84. Let p = y + 33. Suppose -p*x = -4*x - 200. Solve -3*a - 2*a = -x for a.\n | 5\n | ibivibiv/math_instruct | |
Let n = 50 + -39. What is the least common multiple of 5/(60/(-1392))*2/(-4) - 5 and n?\n | 583\n | ibivibiv/math_instruct | |
Let z(p) = -433320*p**2. Let f(y) = y**2. Determine z(f(n)).\n | -433320*n**4\n | ibivibiv/math_instruct | |
Let d = 0 - 11. Let k(c) be the second derivative of -c**3/2 + 2*c**2 + 2*c - 15407. Let s(q) = q**2 - 8*q + 11. Determine d*k(r) + 4*s(r).\n | 4*r**2 + r\n | ibivibiv/math_instruct | |
Evaluate (-1 + -37 - ((37 - -19) + -54)) + 6.\n | -34\n | ibivibiv/math_instruct | |
Calculate the remainder when 824116 is divided by 19.\n | 10\n | ibivibiv/math_instruct | |
Simplify ((p**(-1/3)*p)/p)/p**(-19) assuming p is positive.\n | p**(56/3)\n | ibivibiv/math_instruct | |
Let v be (1 - 3)*20/8. Suppose 2*o - 9 = -1. Suppose -5*t + c - o = 0, 3*c + 0*c = -3*t - 6. Sort t, 0, v in decreasing order.\n | 0, t, v\n | ibivibiv/math_instruct | |
Suppose 5*a - 2*h = 43, 3*h = a + 1 - 7. What is the units digit of a?\n | 9\n | ibivibiv/math_instruct | |
Which is the closest to -0.1? (a) -2/37 (b) 0.3 (c) 3/7\n | a\n | ibivibiv/math_instruct | |
Solve 0 = 4*p + 1444 - 1448 for p.\n | 1\n | ibivibiv/math_instruct | |
Which is the closest to -0.028? (a) 0 (b) 5167/4 (c) -0.16\n | a\n | ibivibiv/math_instruct | |
Let t = 43 + -25. Suppose 0 = 6*r - t - 96. What is the first derivative of 16*c**2 + r*c**2 + 4 + 0*c**2 wrt c?\n | 70*c\n | ibivibiv/math_instruct | |
Calculate ((-4)/(-68))/((-1)/(-2)).\n | 2/17\n | ibivibiv/math_instruct | |
Suppose -44 = -3*i - i. Let p = -3 + i. Suppose -d = -h + 13, -3*h + 66*d - 65*d + 41 = 0. What is the remainder when h is divided by p?\n | 6\n | ibivibiv/math_instruct | |
Let m(l) = -l**3 - 3*l**2 + 4. Let r be m(-5). Let x be r/15 - (-2)/5. What is the highest common factor of 8 and x?\n | 4\n | ibivibiv/math_instruct | |
Suppose -2 - 28 = -10*g. What is the derivative of 3*s**3 + 5 + g*s**3 + 3*s**3 - s**3 wrt s?\n | 24*s**2\n | ibivibiv/math_instruct | |
Simplify (-3 + -5*sqrt(40)/(sqrt(8)*-1 - sqrt(8) - sqrt(8)))**2.\n | -10*sqrt(5) + 206/9\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 2 and 206.\n | 2\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 22988837?\n | 9\n | ibivibiv/math_instruct | |
Suppose -4*i + 39 = -3*d, -3*d - 2*d - 1 = 4*i. Let m be (2*(-12)/8 - -5) + -4. Let x = m + i. Solve 10 = -x*r - 6 for r.\n | -4\n | ibivibiv/math_instruct | |
Factor -5*w**2 - 9595*w + 19210.\n | -5*(w - 2)*(w + 1921)\n | ibivibiv/math_instruct | |
What are the prime factors of 1152?\n | 2, 3\n | ibivibiv/math_instruct | |
Simplify ((s*s**17*s)/s**11)/((s**(-2/13)/s)/(s**(13/3)/s*s)) assuming s is positive.\n | s**(526/39)\n | ibivibiv/math_instruct | |
What is (-8)/((-64)/180)*(-1)/114 + 6/(-8)?\n | -18/19\n | ibivibiv/math_instruct | |
What is the value of -7 - (-25 + 3196/187)?\n | 10/11\n | ibivibiv/math_instruct | |
Rearrange -10*s**3 + 10*s**3 + s**2 - 64*s + 2*s**3 to j*s**2 + f*s + l*s**3 + a and give j.\n | 1\n | ibivibiv/math_instruct | |
Is 913721 a composite number?\n | True\n | ibivibiv/math_instruct | |
Simplify (d**(-3))**39/((d*d/(d**3*d))/(d*d*d**(1/2)*d)) assuming d is positive.\n | d**(-223/2)\n | ibivibiv/math_instruct | |
Suppose 0 = 2*l - 0*l. Let q(h) = -h**3 - h**2 + h + 11. Is q(l) a multiple of 3?\n | False\n | ibivibiv/math_instruct | |
What is the units digit of 115969?\n | 9\n | ibivibiv/math_instruct | |
Product of 1.69 and -3.54.\n | -5.9826\n | ibivibiv/math_instruct | |
Simplify ((((q**(-2/3)/q)/q)/q)/q**2*(((q*(q**(-1/2)*q)/q*q*q*q*q)/q)/q)/(q/(q*q**(1/6))))**(-2/65) assuming q is positive.\n | q**(6/65)\n | ibivibiv/math_instruct | |
(-23)/(-36) - ((-39 + -3)/(-14))/(-12)\n | 8/9\n | ibivibiv/math_instruct | |
Two letters picked without replacement from hheeelhbvb. What is prob of picking 1 v and 1 e?\n | 1/15\n | ibivibiv/math_instruct | |
Let l(y) = -2*y**3 + y**2 + 3*y + 1. Let x be l(-2). Suppose 2*r - 5*r - 4*b = 3, -4*r - 4 = -4*b. Sort r, 4, x in descending order.\n | x, 4, r\n | ibivibiv/math_instruct | |
Let v(o) = 5*o**2 + 9*o + 4. Let i be (4 + -1)/(-5 + 3282/660). Let u = i + 104. What is the tens digit of v(u)?\n | 3\n | ibivibiv/math_instruct | |
What is prob of picking 1 i and 2 k when three letters picked without replacement from {i: 3, k: 11}?\n | 165/364\n | ibivibiv/math_instruct | |
Divide -861 by 401.\n | -861/401\n | ibivibiv/math_instruct | |
Let l(z) = 2*z**2 - 2*z - 5. Let p be l(-2). List the prime factors of (p*-1)/(22/(-66)).\n | 3, 7\n | ibivibiv/math_instruct | |
What is the square root of 10357 to the nearest integer?\n | 102\n | ibivibiv/math_instruct | |
Put -0.1, -7526, -3, -9/4, 4, 7/3 in ascending order.\n | -7526, -3, -9/4, -0.1, 7/3, 4\n | ibivibiv/math_instruct | |
Let b = -907 + 1598. Is b prime?\n | True\n | ibivibiv/math_instruct | |
Simplify ((-1*sqrt(91) + sqrt(91))*-5)/(sqrt(252)*-1).\n | 0\n | ibivibiv/math_instruct | |
Evaluate 880/160*(-60)/(-22).\n | 15\n | ibivibiv/math_instruct | |
Let t(f) = -10916*f**2 - 143*f + 11. Let o(m) = -2183*m**2 - 26*m + 2. Let l(k) = -11*o(k) + 2*t(k). Let v(d) = -d. Give l(v(z)).\n | 2181*z**2\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {p: 5, f: 8}. What is prob of picking 1 p and 3 f?\n | 56/143\n | ibivibiv/math_instruct | |
Expand (-2*w**2 + 0 + 0)*(-2 + 3 - 2) - 23*w**2 - 45*w**2 + 45*w**2 + w**2 - 2*w**2 - w**2.\n | -23*w**2\n | ibivibiv/math_instruct | |
In base 15, what is 1 + -c72e97?\n | -c72e96\n | ibivibiv/math_instruct | |
How many minutes are there between 3:48 PM and 4:42 PM?\n | 54\n | ibivibiv/math_instruct | |
What is 535 minutes after 6:40 AM?\n | 3:35 PM\n | ibivibiv/math_instruct | |
What is the nearest to -2 in -5, 0.5, -2/9, 15.6?\n | -2/9\n | ibivibiv/math_instruct | |
Calculate the remainder when 287993 is divided by 143704.\n | 585\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Lebesgue measure vs. box counting dimension
## Main Question or Discussion Point
Short version: What is the difference between the Lebesgue measure and the box counting dimension of a set?
Long version: I was reading up ... | The Lebesgue measure and the box counting dimension are two fundamental concepts in mathematics used to quantify the size and complexity of sets in different ways. Although they may sound similar at first glance, these two ideas serve distinct purposes in mathematical analysis and have unique properties. To understand... | ibivibiv/math_instruct | |
What are the prime factors of 150?\n | 2, 3, 5\n | ibivibiv/math_instruct | |
16296612+1164\n | 16297776\n | ibivibiv/math_instruct | |
Solve q**3/5 + 78*q**2/5 + 2028*q/5 + 17576/5 = 0.\n | -26\n | ibivibiv/math_instruct | |
Let n(y) = -5*y**2 - y + 8. Let j(u) = -9*u**2 - 2*u + 15. Let h(l) = 6*j(l) - 11*n(l). What is h(-3)?\n | 14\n | ibivibiv/math_instruct | |
What is -7 + (422 + 0 + 0)*(101728/(-1920) + 53)?\n | 1/30\n | ibivibiv/math_instruct | |
Solve -75*x - 6 = -73*x + 14 for x.\n | -10\n | ibivibiv/math_instruct | |
Let t(h) = 165*h + 8778. What is t(-53)?\n | 33\n | ibivibiv/math_instruct | |
Two letters picked without replacement from zbbbsazssbzxzss. Give prob of picking 2 s.\n | 2/21\n | ibivibiv/math_instruct | |
Let k be 7 + 177615/25 - (-3)/(-5). Let m be 2*(6 + k*4). What is m rounded to the nearest one thousand?\n | 57000\n | ibivibiv/math_instruct | |
Is 32467 prime?\n | True\n | ibivibiv/math_instruct | |
Sort 0.5, -961, -2.\n | -961, -2, 0.5\n | ibivibiv/math_instruct | |
What is the units digit of 479?\n | 9\n | ibivibiv/math_instruct | |
Suppose 2*p + 68 = -3*i + 603, 0 = -p - 4*i + 275. Does 23 divide p?\n | False\n | ibivibiv/math_instruct | |
Simplify (u*u/(u/(u*(u**16*u*u)/u))*u*u**(-2/17))/(u**(-3)/u*u**(-2/13)) assuming u is positive.\n | u**(5312/221)\n | ibivibiv/math_instruct | |
What is the hundreds digit of 15453?\n | 4\n | ibivibiv/math_instruct | |
Let t(w) = -414*w - 432*w + 24 + 826*w. Determine t(1).\n | 4\n | ibivibiv/math_instruct | |
Solve 0 = -38*n + 2180595 - 2180519 for n.\n | 2\n | ibivibiv/math_instruct | |
Expand (9 + 9 + 1)*(h**5 + 11*h**5 - 3*h**5).\n | 171*h**5\n | ibivibiv/math_instruct | |
Let r(a) = -37329*a + 411100. Determine r(11).\n | 481\n | ibivibiv/math_instruct | |
Which is greater: -243875998 or -243875997?\n | -243875997\n | ibivibiv/math_instruct | |
Is 841273019 composite?\n | True\n | ibivibiv/math_instruct | |
In base 8, what is -2 - 124?\n | -126\n | ibivibiv/math_instruct | |
Suppose z - k + 12 = 4*z, 4*k = 2*z - 22. Let n(v) = 4*v**2 - 11*v - 14. Calculate the remainder when n(-2) is divided by z.\n | 4\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 28 and 987.\n | 3948\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 112 and 6093420.\n | 170615760\n | ibivibiv/math_instruct | |
Are 775 and 776 unequal?\n | True\n | ibivibiv/math_instruct | |
List the prime factors of 3184875.\n | 3, 5, 19, 149\n | ibivibiv/math_instruct |
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